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Let the sample space consist of non-negative integers up to $50, \mathrm{X}$ denote the numbers which are multiples of 3 and $\mathrm{Y}$ denote the odd numbers. Which of the following is/are correct?
$1.$ $\mathrm{P}(\mathrm{X})=\frac{8}{25}$
$2.$ $\mathrm{P}(\mathrm{Y})=\frac{1}{2}$
Select the correct answer using the code given below.
Options:
$1.$ $\mathrm{P}(\mathrm{X})=\frac{8}{25}$
$2.$ $\mathrm{P}(\mathrm{Y})=\frac{1}{2}$
Select the correct answer using the code given below.
Solution:
1997 Upvotes
Verified Answer
The correct answer is:
Neither 1 nor 2
Given $\mathrm{S}=51$ (includes 0 ) $x$ denotes the multiples of 3 upto 51 . $\mathrm{n}(\mathrm{x})=16$
y denotes the odd numbers upto 51 . $\mathrm{n}(\mathrm{y})=25$
$\therefore \mathrm{P}(\mathrm{x})=\frac{16}{51}, \mathrm{P}(\mathrm{y})=\frac{25}{51}$
y denotes the odd numbers upto 51 . $\mathrm{n}(\mathrm{y})=25$
$\therefore \mathrm{P}(\mathrm{x})=\frac{16}{51}, \mathrm{P}(\mathrm{y})=\frac{25}{51}$
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